Bifurcation control of solid angle car-following model through a time-delay feedback method

In order to alleviate unstable factor-caused bifurcation and reduce oscillations in traffic flow, a feedback control with consideration of time delay is designed for the solid angle model (SAM). The stability and bifurcation condition of the new SAM is derived through linear analysis and bifurcation...

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Bibliographic Details
Published in:Journal of Zhejiang University. A. Science 2023-09, Vol.24 (9), p.828-840
Main Authors: Ji, Qun, Lyu, Hao, Yang, Hang, Wei, Qi, Cheng, Rongjun
Format: Article
Language:English
Subjects:
Bifurcations
Car following
Civil Engineering
Classical and Continuum Physics
Control stability
Engineering
Feedback
Feedback control
Industrial Chemistry/Chemical Engineering
Linear analysis
Mathematical models
Mechanical Engineering
Oscillations
Research Article
Time lag
Traffic congestion
Traffic control
Traffic flow
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Summary:In order to alleviate unstable factor-caused bifurcation and reduce oscillations in traffic flow, a feedback control with consideration of time delay is designed for the solid angle model (SAM). The stability and bifurcation condition of the new SAM is derived through linear analysis and bifurcation analysis, and then accurate range of stable region is obtained. In order to explore the mechanism of the influence of multiple parameter combinations on the stability of controlled systems, a definite integral stabilization method is provided to determine the stable interval of time delay and feedback gain. Numerical simulations are explored to verify the feasibility and effectiveness of the proposed model, which also demonstrate that feedback gain and delay are two key factors to alleviate traffic congestion in the SAM.
ISSN:1673-565X
1862-1775
DOI:10.1631/jzus.A2300026